The skill levels vary so much that you aren't just going to "Crush" just because you want to. It is a nice idea but not something you should ever bank on being a legit strategy.
It should at least be your primary strategy going into a lane. If your lane opponent proves to be really challenging, then you can just try to push the lane and roam.
If you are pushing top lane hard in solo queue chances are the enemy jungler will just come kill you and then they can still take dragon as now the enemy laner can just tp down while you are dead, assuming your opponent doesn't just push back cause they aren't a bot. Not to mention if you are playing against me and you leave the lane...you just lost a tower. Good luck with that roam, and most top laners are the same.
If you are pushing top lane hard, you should be prepared for a gank from their jungler. That's the point. You ward well, and then you push hard... you get the jungler to come up... You know he's there... and then you bait him to stay... You get just close enough to where he feels like he might have a shot, and then you back off. You repeat this until he catches on that the bush is warded, and then he leaves. Congrats, you just wasted like 30 seconds of his time. Plus with good map awareness you can estimate where the jungler is. If you just saw him pop up bottom on the minimap, you have free reign to shove the lane hard.
The fact you are forced into having to have tp completely screws things up as far as choices. If you dare to not take tp you are screwed right now, and the fact that Riot basically builds and balances around flash in most cases means you are going flash tp on most champs.
I play top lane a lot and never take TP. I go Flash + Ignite. I play Quinn top... so I can handle the 1v2 situations, not to mention I can interrupt teleports (ALL TELEPORTS)... oh and I also have my ultimate that gives me insane movespeed. I can literally walk into top lane river out of sight, and within a couple seconds I'm ganking mid. By the time the top laner realizes I'm gone, I'm already at mid. I do what I need to do mid, and then I instantly run back top before the top laner can even push to my tower. THAT is how you effectively push a lane and gank.
You are right that most top lane champs are forced to take TP... because they have limited mobility otherwise. But Quinn is an exception to the rule. It also doesn't hurt that she is ranged and pretty much dumps on 90% of top laners. :)