It's wild to me that a vendor would suggest bumping up nitrates when they are already at 5.
My nitrates are 5, actually all my parameters are very close to the OP's.
The amount of flow shown in the video is fine, actually a great baseline for most SPS. Slimers are one of the easier ones and can take anywhere from some flow to tons. I shoot for an average of 10 cm/second just over the top all SPS, as measured by flake food in the water column. And 250-300 PAR for frags, unless I can match what tank they came from.
You can look into IV drip bags or kalkwasser in your ATO (you do have an ATO, right?) if you don't want to shell out for a dosing system. I've never manually dosed so I can't comment on whether a single point alk swing is enough to do this or not. Actually, I have no idea what caused this, but I would bet money that it's not flow or nitrates.
Moving the coral (or messing with anything at this point) will further stress it, IMHO. If this were my coral, I would do nothing except keep the water chemistry, dosing, fish feeding, light, and flow constant. SPS = stability promotes success.