No. But if they're more used to nerf pistols than nerf rifles, they might prefer a M1911 over an AR-15. Or, if they're more used to revolvers than automatics (and live in fear of the very notion of a weapon that could maybe jam), they might pick a Colt over the M1911. Or, if they prefer stopping power to reliability or functioning wrists, they might pick a Desert Eagle. Or, going back to the rifle side, they might pick an AK-47 (more rugged), or even a frigging Finnish M/28-30 (local Mosin-Nagant variant) with iron sights, if they're a huge fan of Simo "White Death" Häyhä and/or are worried about gleam off a scope giving them away.
All of those weapons handle differently, and are preferred by different users for different reasons. Same is true of swords. The moves you can do with a single-edged blade with a small guard differ from those of a double-edged sword with a cross-guard. Which is, quite frankly, kind of a bad design. There's a reason basket hilts came into vogue. That guard doesn't actually protect the fingers well, and it's wide enough to get in the way of swinging it at times.
And, as drawn, it's a fairly odd weapon, with the weight concentrated in the tip, tapering down to the hilt, inverse of most designs. It's a common mistake artists make, and a bad one. That design puts stress on the blade near the guard, which could cause it to snap, and also strains the user's wrists, because you have a heavy weight at the end of a long lever. Hence, I'm not aware of any real swords with that design, at least not with that sort of length (the xiphos is a much shorter design, and the blade is more curved), though I'm no expert on the matter.
Regardless, even setting aside weight distribution, you're not going to use a weapon like that the same as a katana. If you tried, you'd probably hurt yourself with the back edge. The length of the guard also changes how you can swing it, which might limit how much you cut yourself with the back, but will still be very different from a katana. That has advantages and disadvantages, but someone more familiar with one type instead of the other should probably use the type of sword they're most familiar with.
TL;DR Weapon design does matter.