Not sure how many PS Pilots frequent this forum. There are, however, plenty of mariners who frequent Puget Sound.
First, it’s not “VTS lanes”, rather a Traffic Separation Scheme. Rule 10 will generally tell you everything you need to know regarding your responsibilities.
If in doubt, get a hold of the ship via VHF-13.
But, generally, your best bet is to just stay clear, and if there’s any doubt, never attempt to cross ahead of any vessel, particularly large ships–they may be moving quite a bit faster than they appear to be.
And, one question–whiskey tango? Where is that, exactly?