I would just remove the dead leaves, but do not cut the vine yet. Feel the vine, if it still stays firm to your touch, no mushy part, it may still grow new leaves much later. Be very patient, some Hoyas especially the succulent ones take their sweetest time to grow actively again. In the meantime, continue to water the media of the plant directly, allow excess water to drain and allow longer watering intervals since it is the cooler season. Even indoors it will sense the shorter light duration and light intensities coming thru the windows.
If you read the comments of other growers who posted their Hoya carnosa 'Compacta' photos in the database, some really comment how slow this plant grows, while those in the Florida area with their more humid warm area have better growing experiences with it. It just depends on our growing environments too at times.