Can/would you otherwise use them for a hotel redemption? If not, then converting may make sense.
What value do you place on 20k IHG/HH points?
What value do you place on 5.4k/2.7k avios?
I wouldn't bother personally. 20k IHG points will you get you one or two hotel nights in a $100 room, but you will barely get past the end of the runway with 5400 Avios.
I have about 500k IHG points. It just doesn't make sense to give up at the very least a full week in any hotel in the group for just 135,000 Avios.
I also find IHG points far easier to redeem.