Tough to armchair this incident due to limitations of LiveATC. Available audio feed is both KBOS tower frequencies combined in a single audio file. Not all transmissions are heard. When LC instructs Learjet to cross 4L at E and turn right on M, only a partial read back is heard. When LC instructs Learjet to monitor 132.22, no read back is heard. No read back is heard from LC instruction to Learjet to LUAW on 9, with that transmission excluding the Learjet identifier from LC.
Listening to the extended audio file, radio comms/discipline was very good with both pilots and ATC identifying and correcting occasional errors from the other. Given that exhibited discipline, I suspect the Learjet responded to all LC instructions with the appropriate read back, but not captured on audio file due to limitations of LiveATC monitor. Once off the ground, Learjet comms are loud and clear.
VASAviation creator noted in comments of his video that he followed the Learjet for several frequency changes after departure and never heard ATC issue a possible pilot deviation.
One other observation: after JBU gets handed off from tower, TRACON asks for reason for go-around, and pilot responds "tower instructed" (rather than pilot-initiated).