It's fine if you want the rest of the team to sit deep and then you just look to counter quickly with direct balls. But, as you say, you are going to surrender the lion's share of possession.
Leicester did it and, through some weird miracle, won the league. The next team following that sort of blueprint with any sort of mediocre modicum of "success" is probably West Brom and I'm ****ed if I want to watch Pulis-ball over our current style.
So, basically, as you say, no-one apart from the likes of Man City really plays an attacking style with two strikers.
We could try and we might score a few more but we'd probably get stuffed more as well.