I think I would tend to say that something was a polo-neck jumper rather than a polo-neck sweater, and a v-neck jumper rather than a v-neck sweater, if that’s any help? Perhaps having a qualifier makes a difference?
Both your examples are noted as “Pattern Type Jumpers and Sweaters”, just to confound confusion further.
And was each, unlike the Rowan Moordale and Softyak DK ones TFM showed us, made of Guernsey wool (Ganseys are knitted in a particular wool, known as Guernsey 5-ply, a hard twist worsted spun wool available from specialist suppliers) and without seams? Because if not, it wasn’t a gansey any more than TFM’s ones are.
When one is the proud owner of a Guernsey made for you with yarn from the island one’s Grandma commissioned and presented to one as as “good warm gansey for your rallying” one can call it a gansey