Here's what the page looked like before I had any chance to read what is the service.
https://i.imgur.com/g7dLXCZ.png
0/10
https://i.imgur.com/g7dLXCZ.png
0/10
I shouldn't need to explain why that is that case, of course, because public relations and marketing and UX are based entirely on the same psychological principles. And therein lies the problem. You're a public relations company displaying the inability to relate to the public.
Don't fix this "today", fix it right now. It should be your top priority.
Like I said, it reeks of desperation. Every time something pops up over the actual content of your site, you might as well just replace the text in that pop-up with "please, please, we beg you to give us your business!" Because that is all anybody sees. I assure you.
Source: Web developer of 18 years, watched companies literally go out of business based on similarly poor user experiences that I could not talk them out of.
That doesn't necessarily make them a good idea, since annoying many of your users or going against your principles may not be worth the boost, but you should be careful about assuming your own ux preferences will lead to the best conversion rate--unfortunately, the data will often prove you wrong.
Doing a promotion-model on a page that already is promoting the product is "yo dawg" levels of silliness.
If an annoying UX element actually increases conversions, it is purely a sign that your overall UX or UI or marketing verbiage is failing. Conversions will increase significantly more if you fix the core issue, because not only will a proper UX/UI still elicit the conversions from users who might have been pressured by desperate tactics, it prevents alienating those users who are not susceptible to those tactics.
I have never once come across a situation for which this was not the case.
Edit: I think the perfect example of this is your own website. And I don't mean to insult you, I'm just giving you my take as a visitor and an experienced developer.
I was entirely turned off by the pop-up, which puts me firmly in the insusceptible category. Then after closing that pop-up to explore your actual marketing message, I was overwhelmed. Not just by the meaningless industry jargon, but by the sheer amount of dissimilar and unorganized content on a single page.
I can guarantee, without any shadow of a doubt, that a more succinct and meaningful message will increase your conversions more than the three desperate elements currently on the page ever will.
Completely agree that our site and message can be improved. It's a continual work in progress. That said, the exit intent popup has been a large driver of leads for us. There are doubtlessly better ways to get leads, but given limited time to seek perfection, for now I'd rather have the clients this gets us than the approval of a purist who offers no data, just personal opinions.