artcicap and Scota4570 make good points.
A spiral fluted reamer will try to pull itself into the hole. If someone is trying to ream the hole by hand the reamer will get out of control and end up gouging its way deeply into the chamber where it will will jam or lock up. If the reamer is backed out of the hole it will leave gouges behind.
If a straight fluted reamer is used it won't try to pull itself into the hole but if the job is being done by hand, getting it to follow the existing hole can be very difficult.
Any slight tilting of the reamer will cause it to cut the mouth of the hole oversize and out of round basically ruining the chamber.
This is why there is the talk of using a drill press or milling machine and some method of securely clamping the cylinder in place prior to reaming.
The jet engine company I worked for used what is called a "floating head" for reaming. This special tool allowed the reamer to self pilot itself in the existing, smaller hole while still powering the reamer. The problem for most people is, these floating heads are expensive and they aren't designed to be used with a hand held power source.
The safest method is honing the chambers but as Scota4570 mentions this is a long, tedious job and constantly stopping to measure the hole is needed.