No. 100% of them wouldn't. People get their views about politicians, generally, from people who are opposed to them: that person is an X, they must believe Y because they are an X. It is ludicrous. I would rely on first-hand evidence. And what people also disregard is that the UK hasn't introduced things, like patient charges, that are common in other universal systems (we have a very low income tax base, so it is generally relatively wealthy people who are refusing to pay for things they use...this isn't how any other universal system operates). So a lot of the "ideological" opposition is totally nonsensical (and has resulted in very poor patient outcomes).
The view that the NHS is being stitched up is another common conspiracy theory that is "common knowledge" and totally wrong. The NHS (and the BMA, particularly) have been given all the rope needed to hang themselves. Attributing malice to incompetence is at the root of most conspiracy theories.
An inefficient system that achieves patient outcomes that are many times better than the UK. I would take that any day. It is great to sit in a country that can provide good healthcare and marvel at ideological purity (it isn't ideological purity, it is conservative/reactionary thinking that drives everything in the NHS)...it is less great to actually be in that country, and be sick and not get treated. The UK achieves good outcomes given the cost...but that cost is very low and the outcomes are also very low (the UK's healthcare system is more comparable with middle-income countries, we are nowhere near most developed countries...and nowhere close to a top rank country like Germany). And btw, the UK is massively inefficient...we overpay massively for doctors (our wages are roughly equal to Germany), there are reams of middle managers in the NHS, any system will have inefficiency (and it is far more dangerous to have inefficiency in a system that isn't redistributive like the UK because it is largely poor people who pay for it).
And no, it isn't about insufficient homeopathy. I don't think people who have healthcare understand what it is like to have none. I am sick right now, I don't get treatment (in one case, the waiting list is too long, and in the other the cost is too high for the NHS to treat people). Most of my relatives that are sick, have either had bad treatment at one point that has almost resulted in death (in one case, multiple times) or don't get treatment for anything but basic illness (and then it is usually bad: for example, doctors will prescribe insulin for overweight people with type 2 diabetes because actually getting people to lose weight is too expensive...the UK also loves "public health" programmes because they are cheap, they don't work either but they are cheap). You call up for emergency treatment, you will wait 6-12 hours for help, and when you get taken to a hospital you can wait as long as a day to be admitted (most stats that are reported on this are fake, the hospital local to me has always hit their four hour target, I have waited in their four hours when it has been totally empty...it was recently discovered that all their stats were being faked by management). If I need to speak to my GP, there is so much demand that I need to call at 8 in the morning, by half 8 there are no more slots. If I do call at 8 then I will be triaged by someone with no medical training, and likely told that I can't speak to anyone. If you do go to a GP, you likely won't get referred to a specialist if the cost is too high (a big category here is mental health, people usually come into the system only once they attempt to kill themselves/have a psychotic episode/etc.). If you do get referred, you will likely be waiting months or years. If you need medicine, it will be low-cost and anything complex is either not available at all or is sold into markets like Germany with higher drug prices by UK pharmacies (for example, most cancer drugs aren't available...it is why the UK has the worst stats on cancer treatment in the developed world, by far...same for epilepsy). And the vast majority of GPs are exceptionally bad at their job. I have moved around the UK, I have had maybe 10-25 GPs, most are clueless...as an example, I know someone who had a stroke, and the GP wouldn't refer to a stroke clinic (and btw, because obesity/strokes are so common, they just give you drugs because everything else is too expensive). I don't actually know anyone who has had a high level of contact with the NHS who has a positive opinion of the level of care (this includes people working for the NHS too btw, the support that people have is mostly theoretical...until they get sick, and realise how bad it is).
I am aware of the meme about German doctors. But what you don't see is that waste is a sign that things are working (and btw, the UK still wastes more than anyone, I am in favour of wasting money on doctors...if the outcomes are there, but they aren't and nurses get paid starvation wages because of this overspend). If you attempt to reduce all waste in healthcare, people die. It isn't like other things.