Why do you need to buy a lab type PSU for charging? A decent battery charger is fine once you are happy that its output voltage is correct. There is a small risk of drift over time, but if it's well made it shouldn't really be an issue. I've got chargers I bought several years ago and they still output the same voltage I set them to. You would be better off if worried about drift, adding a cicuit to cut power to the pack if the voltage goes over a fixed level. If you want to charge to a lower end point voltage, you could add a dropping diode or open up the charger and modify it internally. It will charge at constant current until it gets close to the end point voltage and then gradually ramp the current down and that is all you need.Your PSU does seem popular, featuring on many Youtube videos. Do you charge your ebike battery using that PSU? Can it be programmed or adapted to deliver a slow rising voltage to say 42V? I should have bought one of ebikebattteries.co.uk pulse chargers while they were trading.
I'm not so keen on variable output, non dedicated PSUs for charging. Eventually a knob or button will get knocked etc and then your battery will be subject to too high a voltage. I might use one for testing, but not for a permanent set up.