My 2 cents....
As I don't know the full design of your home, some of this will be assumed in my recommendations.
Assuming the drain will be for RO/DI discharge and also water changes, yes, I would bust up the basement floor and install a drain, but I would connect it to a utility sink this will also require you to run either hard or soft supply lines to connect the faucet up.
If you do, then you will have the benefits of centralizing everything you need in one space. You can now drain whatever water you want right to the sink or hard plumb it in-line with the drain. I would also add a faucet sprayer to the sinks it will allow you to better use the water pressure in the lines to blast away the junk from what ever you deem necessary.
This recommendation allows for cleaning out the skimmer, socks, or cleaning whatever you need to in one central location, no more running outside to hose out the socks and skimmer.
If you don’t want to bust up the floor look into a Sink Sump Pump no “busting” required just some plumbing. This will also allow you to add the items listed above. As it’s a basement and if the walls are not finished you can either choose to drill in the drain line into the studs or run them along the wall supporting them with J-Hook or fastener of choice.
Example below:
A while back I was talking to a someone about the Reefing hobby at a motorcycle event, at the time I didn’t know that he worked for the CT fish and wildlife service, soon as I mentioned that I dumped my waste water he asked if I chlorinated it first; umm, I didn’t think I had to, but he said I should be. I kinda side stepped the conversation, but to this day I wonder if that is or is not a regulation for all state, after all I’m a “hobbyist” not a commercial entity. Point being, check with local authorities before dumping waste water down the drain.
Funny part about “chlorinating” the wastewater is that we work so hard and buy so much gear to get the chlorine out only to have to add it back. Again don’t know if this is or is not a state regulation but worth noting it either way. I know quite a few hobbits that don’t practice this and have never heard of it before, so please take it with a grain of salt.