Conclusion: Don't skimp on battery costs. The tow service eats up all you tried to save...and then some.
NOTE: I'm not made of money either. But I have learned the hard way on battery replacement.
Here is what some don't consider. Many of the threads started here on this forum are corrected by making sure the battery connections are clean and tight. To me that means that 5th gens have problems with their battery connections. Often I see batteries that have posts with poor contact areas. Many of these aftermarket batteries, are intended to fit many bikes, and to fit "many models," the manufacture positions the long side of the rectangular post from side-to-side.
Our Wings are less likely to have battery contact problems if the rectangular battery connections' long-sides sit front-to-rear. The Yuasa battery's long-sides sits front-to-rear. Then there are the types shown in the OP. For best contact with those, the post requires a spacer. The more spacers, and washers, and accessory wires, that stack up on a battery connections, the more likely problems will occur.
There is one more situation that occurs. Some will choose the Yuasa battery that ends in HD. Those correct posts, and they are facing the correct way, but the posts are not positioned correctly in the plastic case to fit our cables. Many are attracted to that battery because it has high cranking power, and many to make that battery work have too somehow mutilate the cable ends. For me, a GoldWing should never be mutilated to make something fit. A person who does that type of workmanship is usually called a "hack." I don't know about others, but I would never want to be called a hack.