From what I understand, cell phones in aircraft DO cause confusion on the ground, and I have experienced the result. All I have to do is leave my phone on when I visit one of my mountaintop television transmitters. If the cell system sees my signal at an equal level at several sites (which can happen easily from the altitude where these transmitters are) the system cannot figure out which site I should belong to. However, there is a much worse problem. Because the voice channels are re-used from one site to the next, my phone could work well with one site, while simultraneously jamming the voice channel of someone else who has the misfortune of using the same voice channel as my phone was assigned by the site that accepted my phone and allowed me to talk.
The way cell systems handle this is to label such a phone a "rogue." Once your phone has been designated as a "rogue", your phone will not work again until you power cycle it. I have had this happen several times, and at first, I thought there actually was something wrong with my phone. It took a cell site engineer to explain to me that by coming into several sites at the same level, the cell system put my phone into the "doghouse" to protect other users from interference.
As the population of cell phones increases, cells must get smaller and smaller, and their number increase to meet the demand, because each cell has a limited number of voice channels, and once they are all in use, no more calls can be handled by that site until someone ends a call. People do not like not being able to talk at will, so all of the cell carriers are busy making their cells smaller and building more of them. That reduces the amount of RF coming from any one cell because the distances involved are getting shorter and shorter.
About cell phones in aircraft; the cell companies have decided that they have been losing a lot of business from people in aircraft, so they are now partnering with the airlines, and are starting to build "mini" cell sites inside those commercial airliners. This serves several purposes, but the most significant is that the cell site in the plane can tell every phone there to use a minimim of transmitting power, which will prolong the battery life of all of the phones in the plane, and it wil prevent interference from the phones in the plane to cell sites on the ground. In addition, the cell site in the plane itself runs a very low power (about 1 milliwatt) with a "leaky cable" antenna in the ceiling of the plane, so it also will not cause problems on the ground, even if the plane is near landing or has just taken off.
I wouldn't worry much about a cell site causing RF interference to equipment in the hospital because I'm sure a lot of EMI/EMC testing was done before any cell company was allowed to build a site on any hospital roof. What hospital administator wants to be sued for a wrongful death caused by an electromagnetic compatibility problem traceable to the cell site on the hospital's roof?