With that said, if you're only pushing moderately heavy weights or if you're a beginner and you're starting out with low weights, then it usually can be done.
Though the compromise is usually to eat high carb/low fat on workout days, and low carb/high fat on rest days. Fasting as well helps a ton.
Most who lift and do low carb time their carbs before and after workouts for specifically this reason. Some also do carbs before bed.
But the rest of the day is close to no carbs. This still works. You can get < 100g of carbs a day and not have strength and energy negative impacts.
This is exactly what I do. I have a have a pre-workout carb meal to try and compensate.
Though one interesting thing I've noticed is that I've intentionally had to eat carbs as my body fat percentage has decreased. Otherwise I feel very low energy (though to be fair, I think part of it is that I'm still very active on my rest days, usually doing 20 - 30k steps). I think with higher body fat my body could simply burn that fat for energy, whereas that surplus simply isn't there.
It’s anecdotal, but I believe I’ve experienced similar effects. During my teenage years and for most of my twenties, my body fat percentage was low because I chronically under-ate (mostly just due to bad habits, though there was a financial component too at one point) and was pretty thin. Energy peaked and valleyed quite a bit with the after-lunch crash being the worst.
After I started working out and adjusted eating habits to accommodate that, my baseline weight jumped 20lbs or so. Some of that was muscle, but body fat percentage increased too. Since then energy levels have been much more even throughout the day, even during periods where I wasn’t working out (e.g. during pandemic lockdown) and I think it’s because there’s always a bit of fat to burn where there hadn’t been before.
You can get < 100g of carbs a day and not have negative impacts to your strength and energy.
> I don’t eat meat so it’s tricky to meet my Calorie needs by cutting out rice and increasing my bean consumption.
Other than eggs and dairy, there is really no good vegetarian protein source. That's my personal opinion. Vegetarian protein comes with a variety of issues.