Musing:
First, I'm utterly astounded, because I made a measurement tonight of the exact cpu time taken by the standard fullscreen HQ (bilinear), and the slide show (shown to be lanczos). The results were opposite of my expectations, and point to either a severe bug or problem with the bilinear algorithm, or a major crimp in the fullscreen codepath somewhere. First numbers.
My testing methodology: Insert some tiny 'filler' images around the one of interest to eliminate any decoding overhead. (Read ahead and remember previous are on.) View the pic, flip forward, and then read out the process's CPU time. Flip back and compare the difference. Repeat a few times. Both use the same text overlays with the same font, etc.
3543x1772 -> 1280x640
fullscreen : .3s to .5s
slide show : .5s to .6s
70x70 -> 1024x1024
fullscreen : .2s to .3s
slide show : less than .1s!
Suggestion 1:
With this information, I not only recommend again to use lanczos to upscale small images from a quality perspective, but now a speed perspective! The tenths-of-a-second difference actually is noticable, when it's more than twice as long. I have no particular opinion on downscaling, but at least it acts closer to how it should, but lanczos should be ~2 times as slow as bilinear, so the results are still somewhat anomalous, pointing to a bottleneck in the fullscreen code that isn't present in the slide show. Maybe this is related to the same anomalous behavior Olivier_G noticed.
(Running a similar test in avisynth, but at 8 times the resolution with fully optimized resizers, shows ~2x difference, .3s vs .6s for 1024x1024 -> 8192x8192. Running the same test it'd be unmeasurable. That's why I always say "slow" when referencing xnview's, I don't mean to be harsh.)
Suggestion 2:
At least give us a way to choose the resizer if you won't change the default. Both for testing speed and sharpness, people can choose their own tradeoff. This would fit fairly naturally in the gui, except that different modes make sense for up/down. An ini-only option would of course make sense.
Musing again:
I've been thinking about the resizing modes lately. I actually think the current behavior of browser's fullscreen is the best default, but it's not at all obvious why and obviously not configurable. My reasoning is that when someone wants to zoom in above full screen, they probably don't want to wait around in the quicker fullscreen, but if they're in a mode designated for editing speed is not so much of the essence.
(I don't think edit mode even needs a fullscreen, let alone a re-implemented and subtly different one, because I think conflating browsing and editing too closely is actually confusing and problematic - but that's how xnview in built and I'm probably in the minority.)
Suggestion 3:
My only change would be to drop filtering to LQ at 1.5x screen size or 2x screen size, instead of 1x, which extends the useful HQ zoom size for nearly-full-screen pics without being overly burdensome. 2x screen size is where it slows irritatingly, and 4x is the point at which it becomes unusable - of course, since filtering speed is largely dependant on output size, this is unrelated to the actual zoom level. Also, I freely understand I'm on the higher end of systems, and on others even 1x may be burdensome - which I guess was the reason filtering in the quick/"browser" FS mode wasn't around in the first place for a long time.
This is probably one of those things best set to a 'reasonable' default and only changeable in the ini, since I can't think of any way to fit it into the gui without confusing people even more.
Suggestion 4:
In the fullscreen mode, the right-click menu could use a way to force HQ on/off quickly. I believe it's something that makes sense for switching on the fly. ("HQ Mode"->"Default" "On" "Off" "Switch Default On/Off" - separator - "Bilinear (Smooth)" "Bicubic (Sharp)" "Lanczos (Sharper)", of course hoping to have the algorithm selectable in the future

That last suggestion might be most controversial and it's the one I'm least attached to. It's a nice idea but with the proper setup it should rarely be needed, unless you often switch between photo and sprite/icon graphics.
Now to find out if I'm full of it, or if I just wrote too much for anyone to read.
