Tilting the easel or the negative stage will give you the perspective effects of rear tilt and swing (though not the focus effects). It will make a trapezoid into a rectangle, in other words, in one plane, and is handy for small corrections. I do it all the time with 6x6 and 35mm shots where I want the lines to be as square as they can be, and it's a well established technique.
If your enlarger has a tilting neg and or lens stage, you can use the scheimpflug rule to keep the whole negative in focus as you tilt the easel.
Easel tilting will not replace the effects of rise, fall or shift, which can maintain rectilinear perspective in all planes, though you can achieve the same effect by shooting with a wide lens, keeping the camera level, and cropping out the excess--at the expense of increasing the enlargement factor.
Easel tilting will not replace front tilt and swing either, which can be used to control the plane of focus at the time of exposure. If it's blurry on film, you can't make it sharp on paper (without masking or manual retouching).