Most connections ‘make’ at North Pier, so despite having to change vehicles it is an easy interchange.
I disagree that most connections 'make' at North Pier - some do, some don't.
1. Imagine someone wanting to travel from somewhere North of North Pier to somewhere South thereof. They could catch a direct tram (10 and 40 ex Fleetwood) or they could catch a North Station tram (25 and 55 ex Fleetwood) and alight at Talbot Square (arrive 10 or 40). Giving them ten minutes to stroll over to the North Pier stop to catch the North Station to Starr Gate tram, but saving only five minutes on waiting, from the outset, for the next Fleetwood to Starr Gate tram.
2. Someone wanting to travel from North of North Pier to North Station. Direct trams 25 and 55 from Fleetwood, indirect (i.e. catch Starr Gate tram) 10 and 40 from Fleetwood. Arrive North Pier 55 or 25, giving nine minutes to stroll over to Talbot Square for the North Station tram, but saving only six minutes over waiting, from the outset, for the next Fleetwood to North Station tram.
3. South of North Pier to North thereof. Direct trams 00 and 30 ex Starr Gate, indirect (i.e. catch North Station tram) 15 and 45. Arrive Talbot Square 34 or 04, leaving one minute to get from there to the North Pier Northbound stop, far too tight, and as seems to have been established, the ex-North Station trams are leaving North Pier early anyway. So the only remaining option, wait c.15 minutes for the next Starr Gate to Fleetwood tram, which could have been waited for at the outset.
4. South of North Pier to North Station, direct trams 15 and 45 ex Starr Gate, indirect (i.e. catch Fleetwood tram) 00 and 30. Arrive North Pier 19 or 49, comfortably missing the Fleetwood to North Station tram (10 and 40 at Talbot Square). So the only remaining option, stroll over to the Talbot Square stop and wait c.15 minutes for the next Starr Gate to North Station tram, which could have been waited for at the outset.
Conclusion: If you miss your intended tram, or simply turn up on spec, it's probably worth catching the next tram to arrive, but you would do better to plan the journey better from the outset.