Yes, magazine subscriptions follow the inmate regardless of where they are transferred within the system. You do not need to cancel and reorder or take any action when a transfer happens. The subscription stays active and issues continue to be delivered to whatever facility your inmate is currently housed at.
This is one of the advantages of ordering through a service like InmateAid rather than directly through a publisher. The address on file updates as your inmate moves through the system, and the magazine keeps arriving without interruption.
For someone currently in reception, ordering now is actually good timing. Reception in Ohio is a temporary processing placement, and your inmate is going to be sitting through a period of evaluation and classification with limited programming and a lot of idle time. Having a magazine subscription arrive during or shortly after that period gives them something to look forward to and something to fill the hours with while they wait to find out where they are being permanently housed.
Once the transfer happens and they land at their permanent facility, the next issue of the subscription will route there automatically. No action needed on your end. The subscription simply keeps running and the issues keep coming wherever they are.
Go ahead and order. The timing works in your favor and the subscription will be there for them through the transfer and beyond.