Most RO units will send your water wherever you want. They will pump through the finish hose to a great distance.
Can you get your tub closer to res in the long run just for ease?
That pump MAY work but the distance through hose I would want more power just to not take too long.
Look at the model one or two up from there IMO like the 396 or 633.
The larger of those two is about 2x the price of 290.
I used rubber maid barrels [ 10,24,32,42 gallon barrels] with the wheeled dolly they make.
All rolled and moved without issue.
If you can get your tub close[ enough ] to your res and elevate it you may not need any pump.
View attachment 84503
^ Here my 32G Rubbermaid on a water heater stand.^
Once higher than your res you can syphon with just hose and no pump. From any distance.
I drip my plants with this set up.