Tones are important. Perhaps teachers used to speaking with students will understand without tones, or if (like in the shuijiao example) There is clear context. But in general, tones are key and you won't be taken seriously without them.
On another note I found a great podcast called "Important Chinese things with Jenny Zhu" it has content in 50% Chinese and 50% English so useful for intermediate and above, very interesting topics - there was a recent episode on dating that seemed pretty fair.
On another note I found a great podcast called "Important Chinese things with Jenny Zhu" it has content in 50% Chinese and 50% English so useful for intermediate and above, very interesting topics - there was a recent episode on dating that seemed pretty fair.