Not necessarily. Remington made a version of the Premier called the 11-87 Skeet and I think a version called either Premier Skeet or Skeet Premier.
I have an 11-87 Skeet Left Handed model. I'm not sure why, other than as a lefty I kinda wanted a left handed shotgun. Now? Nnnnnerp. I like right side ejection guns because I can maintain my firing grip and let my support hand do all the feeding. I'll leave all that over-the-top or under-the-receiver stuff for al you righties. Y'all look like pretzel trying feed shotguns!
So one of you righties needs this left handed 11-87!
gn
"On the internet, nobody knows if you are a dog... or even a cat."
I've been using the 1100 (and the 11-87) line of shotguns since the early 70's and they've served me very well. I'm right-handed but shoot long-guns from the left shoulder and since there weren't many LH guns when I grew up, I had to adapt to the manual of operation of RH guns. There's some very capable new SG's out there, but it might be perilous for me to try and switch now for some perceived/imagined benefit. Like most firearms, if you keep them clean, maintained, lubricated and well fed with quality ammo, these SG's work with predictable reliability.
The path of least resistance will seldom get you where you need to be.