The super cheap multitone RC paper is thinner than any, so will reduce exposure times a bit. The density range of such a transmission projection is very small, so you get stuck with a high contrast filter that may not give enough contrast. Best to use pear surface, I believe, to reduce surface reflactions compared with glossy. I experimented with this a bit recently for enlarging negatives, but I was printing negatives as positive prints on paper 4x5 and enlarging onto ortho litho film, which makes enlarged negatives. The tonal range did not look good this way, due to very curvy type response curves in transmission that look better double pass just looking at a print. Low conttrast shedows and highlights with high contrast midtones.
Also possible to use opaque type projector for this, which gives more snap and tonal quality to your prints. This can be done using a view camera with paper in the film holders photographing the paper negative illuminated from the front side. Or, build a box with you print on the back wall with a couple of lamps front side attached to your LF enlarger back. Easier to just contact print onto ortho litho film, then enlarge that posive to a negative.