Hearts and Partick Thistle say the request by Dundee United, Raith Rovers and Cove Rangers for other clubs to help with legal costs "could create further division".
Partick Thistle will seek "justice" on the pitch rather than in court after their "sickening" relegation.
Clubs relegated after league seasons have been curtailed should receive solidarity payments, says Hamilton Academical chairman Allan Maitland.
The Scottish Professional Football League has called an extraordinary meeting for 12 May after requisitions by Rangers, Hearts and Stranraer.
Scottish League One
Audio & Video
Scott Arfield and Jermain Defoe are on target as Rangers ease past League One Stranraer in the fourth round of the Scottish Cup.