Sounds like classic Idle Air Controller symptoms, but you said your IAC was already changed, and manifold checked for leaks.
Any chance they could try another IAC?
Check all wiring and connections to the IAC.
Possible MAP sensor issue? (manifold absolute pressure sensor)
Possible TPS sensor issue? (throttle position sensor)
Here is a link to a Volvo Penta TBI manual:
http://boatinfo.no/lib/volvo/manuals/md_tbi.html#/0(see page 75)
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"Knot Easy" 2000 Horizon 240 Volvo 5.7GS /SX
tow: 2017 Honda PILOT EXL-AWD
prev. boats:
'87 Chaparral 198CXL 4.3 OMC Cobra
'69 Jetstar 16ft Ski Boat, 115hp Yamaha
'68 Aluminum Jon Boat, 3hp Sears
'64 Water Wings