Your Linn Axis/Akito if well maintained (caps, motor, belt in good condition) is better than a new $1000 TT. It would not be a step forward.
I own a mint Axis and have been auditioning new TTs in the $1500 range and am keeping the Axis. It has that great Linn house sound.
Back in the 1980s, Linn built this affordable TT and it rivaled the LP12.