SQ restricts award inventory in Business/First Class on their 772ERs (new seats), 77W, A380 aircrafts for some *A members. UA is unfortunately one of them.
These seats are only available through LH's Miles and More and SQ's Krisflyer.
The A380 Suites Class (F class) awards are only available through Krisflyer.
Same rules apply for upgrades using *A miles on SQ flights.
UA MP members may redeem on SQ's other aircrafts.. 772, 772ER (old Spacebed seats), 773, and A333.