I did a brief search for the Oregon muzzleloading hunt regulations for 2020.
This is the information I pulled from the Oregon e-regulations:
Muzzleloader During muzzleloader only seasons and 600 series hunts where there is a weapon restriction of shotgun/muzzleloader only or archery/muzzleloader only:
It is unlawful to:
Use scopes or sights that use batteries, artificial light or energy except for visually impaired hunters with a permit (see page 23). Open and peep sights are legal, including open and peep sights with fiber optics or fluorescent paint on them.
Hunt with or have in possession while hunting, sabots or bullets with plastic or synthetic parts. Cloth, paper or felt patches are allowed.
Hunt with centerfire primers as an ignition sources; the muzzleloader must have an open ignition. See definition on page 87.
Hunt with pelletized powders or propellants. Granular (loose) black powder and black powder substitutes are the only legal propellants.
Hunt with a revolving action muzzleloader.
I do not see any indication that you have to use a lead conical. In fact to me it looks like you can use any full bore bullet. That opens up a very big supply of bullets.
Is this the current regulations?