As reported by @vgrichina, currently on mainnet the following query always times out:

http post https://rpc.mainnet.near.org jsonrpc=2.0 id=dontcare method=query
params:='

{ "request_type": "view_state", "finality": "final", "account_id": "contract.paras.near", "prefix_base64": "" }

'
HTTP/1.1 200 OK
Alt-Svc: clear
Via: 1.1 google
content-length: 111
content-type: application/json
date: Wed, 10 Feb 2021 00:01:49 GMT

{
"error":

{ "code": -32000, "data": "query has timed out", "message": "Server error" }

,
"id": "dontcare",
"jsonrpc": "2.0"
}

I tried it with a node that is running current master node and it still times out. It look like this is likely caused by the slowness in trie iteration, but requires further investigation.