gibson epiphone 335

Will a basic tail piece affect the tuning of my guitar like a Bigsby will?
Obviously, I understand that a regular tail piece wont achieve any kind of vibrato effect but I really like the look of a bigsby on the Gibson 335/Epiphone Dot.
I heard that hthe vibratos can affect the tuning of your guitar (you will need to tune more often) so was wondering if a tail piece like this:
http://www.stewmac.com/shop/Bridges,_tailpieces/Archtop_guitar_tailpieces/Thin_Body_Trapeze_Tailpiece.html
will do the same thing.
Thanks in advance.
That tailpiece is a solid anchor. It doesn’t make any vibrato, it’s just an alternative way to anchor your strings. You shouldn’t have any tuning problems with it.
Epiphone es-335 dot