I worm for tapes year round - they have become a big problem everywhere in the world since the introduction of the 'mectin' based wormers in the '70s
The mectins don't kill tapeworm so I use a wormer that contains one of the mectins plus praziquontal.
I worm for them year round as the life cycle is reletively short, Internal development 1 - 2 months, external development 2 - 4 months. So the horse will be reinfecting itself several times during the warmer months.
Modern wormers are so good that I use the same one year after year. Have no resistance problems and 0 worm counts. My favourite id Parade - its Aniseed flavoured and has the same amount of wormer as all the others in half the carrier so I have far less to get in and stay in my horses mouths.
Modern thinking too is that parasite eggs can survive the cold better than they can survive the heat of summer.