Thanks Soren - that got me what I needed. I do worry a slight bit about the performance myself, as it does seem like I'll be double-rendering, but at least it solves it without modifying the core. I'll have to think about the lesser of evils.
Note in case anyone else follows this, I got stuck temporarily as I followed Odin's path too literally - cloning the original core $:/core/ui/ViewTemplate/body which included the tc-tiddler-body class too. When I stripped that out, it worked fine.
I'd not used data-tag styling before, so that's good learning for me. Because I needed to apply to multiple tags and only one particular chunk, I ended up having to do separate lines (like below) whereas the instructions indicate it may be possible to do all as one with [data-tags*="Tasks"],[data-tags*="Projects],... but the div.tc-tiddler-body thing I couldn't work in.
[data-tags*="Tasks"] div.tc-tiddler-body {display:none;}
[data-tags*="Projects"] div.tc-tiddler-body {display:none;}
[data-tags*="Initiatives"] div.tc-tiddler-body {display:none;}
[data-tags*="Meetings"] div.tc-tiddler-body {display:none;}
[data-tags*="Debriefs"] div.tc-tiddler-body {display:none;}