The use of SRV could help in newer API driven implementations so that scripts and other tooling could enumerate which IP's are preferred. For now, developers will just have to make use of multiple records like the browsers do.
That said, it won't likely happen because the HTTP spec does not allow new DNS implementations. The RFC would have to be deprecated with a new one that permits SRV. HTTP/2 would have been a grand opportunity to do just that. There have been many discussions [1] and debates on the issue, but I do not foresee it happening.
[1] - https://www.ietf.org/mail-archive/web/httpbisa/current/msg25...