か of ていうか is a postpositional particle used for expressing an alternate choice, an alternate possibility.
(e.g. 生か死か to live, or not to live)
ていうか is a (stupid) slang which is abused nowadays for something like an introduction before showing one's own view, or changing the point of view. It implies a subtle denial of former conversation.
to translate,
"it might be so, OR, to say it more correctly..."
"yes, BUT in another point of view..."
"yes, but BEFORE that..."