For what it's worth, I'd say no, after having bought a bottle tree, rinser, and a range of no-rinse sanitisers last year. The bottle tree makes great storage - but I don't actually use it for sanitised bottles awaiting filling. I mostly use Grolsch bottles with swing tops (which also need sterilising) and whilst I probably could get all the bottles off the tree, sterilise the tree, then the bottles, and line them up ready for bottling, it doesn't make a lot of sense.
Instead, I tend to dump the bottles in a bath (20L bucket( of StarSan, a few at a time, then drain the StarSan, fill and cap the bottle almost immediately. The bottle tree has ended up as glorified storage for bottles coming out of the dishwasher, but it hasn't revolutionised my sanitising and bottling. I think they might be more use in pairs; if I had an empty one ready to sanitise and transfer the clean, sanitised bottles to, it might be a more viable idea, but a single one when I use mainly Grolsch bottles was not a particularly smart purchase. Using 568ml or 750ml bottles with separate crown caps it is slightly more useful, but if you're happy to use sanitiser by the 20L bucket (which I am) then it is superfluous.