Do you recommend to install regual Zorin OS on Dell Latitude e7270, I mean is this computer capable or will it even run better then it runs Windows 10 (like it runs now?)
"Lite" as a name is a bit misleading. It is a fully developed and full-fetured desktop. It is not only for older computers or lower specs.
It is just that Lite may perform better on older computers than Core since Core is more resource intensive.
Zorin OS Lite is not a Lesser Version than Core. It is just a Different Environment that handles processes more efficiently.
Core (gnome) is more bulky in order to operate the way it does. It is not "better" and it certainly does not offer more than Lite. it is just different.
So it really comes down to User Preference - except in cases where older hardware may be sluggish on Core.
As to your computer specs:
Your system should be able to run either Core (Pro) or Lite (Pro Lite) with ease. So you can choose whichever edition that you prefer without worrying.
I'd recommend getting an external (USB) drive and installing Zorin OS to that... that avoids all the potential problems inherent in partitioning the internal drive for both Windows and Zorin OS. It doesn't touch your Windows installation, so you'll still have it to use should Zorin OS have problems installing or running.
Your machine should run Zorin Pro just fine, but if you want a snappier interface, you can try Zorin Pro Lite. With 8 GB of RAM, you'd be right at the edge when running more than a few applications at once. Be sure to set up a swap partition larger than the default 2 GB. I suggest at least 2x your RAM. I, of course, suggest getting more RAM... 16 GB would be better.