I'm only on my 2nd barrel (weak sauce, I know... LOL). This is exactly what I did with this one, except I shot 5 rounds up front (and chrono'ed each, just for giggles). The barrel sped up significantly in the first 3 rounds, and then stabilized to roughly where it is now after 140. I cleaned after 5, then again after 40. It didn't actually need it after 40, but I wanted to gauge how it was doing in terms of fouling. It was nothing notable that way - just normal fouling.
That hasn't quite been my experience. Somewhere around 1000 rounds on my first barrel (I'd have to go check notes), it slowed down about 65 fps, and has stayed there since (now at 2200). I had to back off a node, so I effectively lost about 85 fps. It's been cleaned to "bare metal" (well, close, anyway) 5 or 6 times since. No change. I'm told that some barrels just do that - they'll hum along and then slow down a bit at some stage. Then they'll hum along fine from there until they die. The barrel still holds 1/2 MOA, and is still useful for matches. My plan is to cut it down to 16.5" and use it for hunting w/ a can.
For reference, both are Bartlein, and are chambered in 6.5 Creedmoor.