The squaring bug isn't a concern for Bitcoin.  We're moving away from OpenSSL for a different reason.  The purpose for which OpenSSL is implemented and maintained is not precisely the purpose for which Bitcoin was using it, and for their purposes they are free to "fix" things in a way that would result in a failure for Bitcoin. 

Before this change, we were using OpenSSL to check the validity of the crypto in encrypted blocks already in the blockchain - blocks that had been transmitted and accepted months or even years previously.  OpenSSL's purpose is in securing communications today, this hour, this minute. 

When encrypted data can appear in any of multiple possible formats, it can lead to different signatures for the "same" data.  This is a problem which could lead to some protocols leaking information, transmitting things redundantly, or letting an attacker see the same payload encrypted by closely-related keys, etc. 

OpenSSL responded to a perceived possible vulnerability that allowed things to appear in either of multiple formats  by first issuing a version of OpenSSL that would only produce a single format, then followed it up 2 months or so later with a version of OpenSSL that would reject all other formats as incorrect.  This is completely in accord with their purpose, and makes a bunch of protocols more secure.  But it didn't work for the Bitcoin protocol.

We have blocks in our blockchain, that have already been accepted, which used one or more of those other formats.  This caused Bitcoin clients which were dynamically linking against the OpenSSL library (ie, which used the latest version of OpenSSL installed on the machine) to decide that we had invalid blocks in our blockchain. 

Most people weren't affected because the downloadable executable was statically linked with an earlier OpenSSL (ie, they used a version of OpenSSL that was guaranteed not to change, but which therefore also wasn't getting updates and bugfixes) so it wasn't affected by the change.  People like me, who compiled from source and linked OpenSSL dynamically rather than statically, had to upgrade our Bitcoin clients before we upgraded our OpenSSL. 

Having had our noses rubbed in the mismatch between OpenSSL's purpose and our requirements, we realized that we needed to put crypto whose purpose is *EXACTLY* our requirements into our client rather than continuing to rely on OpenSSL for things it never promised to do.