In fact, the current fee structure actually encourages the opposite behavior, because witness data is the largest part of a transaction. (segwit.org)
Segregated witness replaces the block size limit with a new block weight limit, counting each byte of witness data as 1 unit of weight and UTXO transaction data as 4 units; as a result, the maximum size of a block becomes just under 4 MB. (segwit.org)
All it requires is one such purist to seed the Segregated Witness data for everyone else to download. (bitcoinmagazine.com)