The GP was talking about microgrids in neihgborhoods (presumably fixed, permanent installations), so there isn't really a reason to worry too much about weight.

Reliability, efficiency/cost of operation, and noise is probably the priorities that come way ahead of weight.

Small and micro gas turbines are already used in the sort of Combined Heat and Power plants used to power commercial / retail buildings, refrigerated warehouses, light industrial units and the like. There's no reason why they shouldn't be used for residential neighbourhoods, especially in colder areas where district heating would be a major selling point.

Compared to reciprocating engine-powered CHP, they tend to produce a slightly higher proportion of their energy output in the form of heat than electricity, and the plant is about about 60% of the volume and half the weight - so they make most sense in constrained spaces or for rooftop installations.