Currently there is not way to remove all lines for all symbols in a single chart. Your post has been forwarded to our Product Manager for review and consideration for a future release.
For multiple charts in a single page you could use a two step approach of for removing lines from all charts. Righting on the chart, select remove all line tools. Then right click again go to style template and select to Apply to current page. This would remove any line on the charts associated that page.
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